Factorizations of nonrigid Zariski dense representations of \(\pi_ 1\) of projective algebraic manifolds (Q1340647)
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scientific article; zbMATH DE number 703875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorizations of nonrigid Zariski dense representations of \(\pi_ 1\) of projective algebraic manifolds |
scientific article; zbMATH DE number 703875 |
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Factorizations of nonrigid Zariski dense representations of \(\pi_ 1\) of projective algebraic manifolds (English)
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25 August 1996
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In this paper it is shown that any non-rigid Zariski dense representation \(\rho : \pi_1 (X) \to SL_n (\mathbb{C})\), with \(X\) a complex smooth projective variety, factors in a certain sense (after passing to the associated projective representation and restriction to Zariski open sets) through a regular projection \(f : X \to Y\), where \(\dim Y \leq n - 1\).
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representation of fundamental group
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